It has been proved by various authors that a normalized,
l-Buchsbaum rank 2 vector bundle on P3 is a nullcorrelation bundle,
while a normalized, 2-Buchsbaum rank 2 vector bundle on P3 is an
instanton bundle of charge 2. We find that the same is not true for
3-Buchsbaum rank 2 vector bundles on P3, and propose a conjecture
regarding the classification of such objects.
